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References

  1. Adler, R.J., Samorodnitsky, G., and Gadrich, T. (1993) The expected number of level crossings for stationary, harmonizable, symmetric, stable processes. Annals Applied Probability 3, 553-575. Math. Review 94k:60061
  2. Doucet, A., de Freitas, N., Murphy, K., and Russel, S. (2000) Rao-Blackwellized Particle Filtering for Dynamic Bayesian Networks. In 16th Conference on Uncertainty in AI, 176-183.
  3. Falk, M., H¸sler, H., and Reiss, R.-D. (2010) Laws of Small Numbers: Extremes and Rare Events. 3rd ed. Birkh?user. Math. Review 2732365
  4. Fedoruk, M. (1989) Asymptotic methods in analysis. In: Analysis I: integral representations and asymptotic methods. Encyclopaedia of mathematical sciences, vol. 13, Springer Verlag.
  5. H¸sler, J. (1990) Extreme values and high boundary crossings of locally stationary Gaussian processes. Ann. Probab., 18, 1141-1158. Math. Review 91j:60044
  6. H¸sler, J., Piterbarg, V., and Rumyantseva E. (2011) Extremes of Gaussian processes with a smooth random variance. Submitted for publication.
  7. Lototsky, S.V. (2004) Optimal Filtering of Stochastic Parabolic Equations. Recent Developments in Stochastic Analysis and Related Topics (Proceedings of the First Sino-German Conference on Stochastic Analysis), Albeverio, S., et al. Eds., World Scientific, 330-353.
  8. Marks, T.K., Hershey, J., Roddey, J.C., and Movellan, J.R. (2005) Joint tracking of pose, expression, and texture using conditionally Gaussian filters. Advances in Neural Information Processing Systems 17, MIT Press.
  9. Nielsen, L.T. (1999) Pricing and Hedging of Derivative Securities. Textbook in continuous-time finance theory, Oxford University Press.
  10. Pickands III, J. (1969) Upcrossing probabilities for stationary Gaussian processes. Trans. Amer. Math. Soc. 145, 51-73. Math. Review 0250367
  11. Piterbarg, V. I. (1996) Asymptotic Methods in the Theory of Gaussian Processes and Fields. AMS, MMONO, Vol. 148. Math. Review 97d:60044
  12. Piterbarg, V.I., and Prisyazhnyuk, V.P. (1979) Asymptotics of the probability of large excursions for a nonstationary Gaussian process. (English) Theory Probab. Math. Stat. 18, 131-144. Math. Review 494458


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